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3. A construction company has to undertake the construction of a flyover bridge. The work involves a number of activities. Their time estimates and precedence relationship are given in the following table: Activity Preceding activity Time estimates (months) Optimistic Most likely Pessimistic A - 1.522 .5 B A 1.522.5C123 D C 1.522 .5 E B,D 0.511 .5 F E 113 G B,D 33.57HG345 I F,H 1.522 .5 i) Draw the PERT network for the project (1 mark) ii) Find the expected time and variances for each project activity ( 2 marks) iii) Determine the critical path and expected project completion time. What activities need special attention for completion of the project in time? ( 3 marks) iv) If the flyover is completed after 18 months, the contractor will have to pay a penalty of sh 200,000 . What is the probability that the company has to pay the penalty? ( 2 marks)